Question 71795: someone please show or explain the easiest way to understand this
express the following statement as a formula with the value of the constant of proportionality determined with the given conditions: w varies directly as x and inversley as the square of y. If x =15 and y=5, then w = 36.
Possible answers:
w = 3 x/y^2
w = 12 x/y^2
w = 36 x/y^2
w = 60 x/y^2
Thanks to anyone who can help me. This is way way over my head
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! w varies directly as x and inversley as the square of y. If x =15 and y=5, then w = 36.
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If a varies directly as b then a=kb
If a varies inversely as b then a=k/b
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For your problem, w and x are on the same level; w and y^2 are on different levels:
w = k (x/y^2)
36 = k (15/25)
36 = k (3/5)
k = (5/3)*36
k = 60
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EQUATION:
w = 60x/y^2
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Cheers,
Stan H.
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